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The Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS)and Cluster Lensing And Supernova survey with Hubble (CLASH) multi-cycletreasury programs with the Hubble Space Telescope (HST) have provided newopportunities to probe the rate of core-collapse supernovae (CCSNe) at highredshift, now extending to $z\approx2.5$. Here we use a sample of approximately44 CCSNe to determine volumetric rates, $R_{CC}$, in six redshift bins in therange $0.1<z<2.5$. Together with rates from our previous HST program, and ratesfrom the literature, we trace a more complete history of $R_{CC}(z)$, with$R_{CC}=0.72\pm0.06$ yr$^{-1}$ Mpc$^{-3}$ 10$^{-4}$ $h_{70}^{3}$ at $z<0.08$,and increasing to $3.7^{+3.1}_{-1.6}$ yr$^{-1}$ Mpc$^{-3}$ 10$^{-4}$$h_{70}^{3}$ to $z\approx2.0$. The statistical precision in each bin is severalfactors better than than the systematic error, with significant contributionsfrom host extinction, and average peak absolute magnitudes of the assumedluminosity functions for CCSN types. Assuming negligible time delays fromstellar formation to explosion, we find these composite CCSN rates to be inexcellent agreement with cosmic star formation rate density (SFRs) derivedlargely from dust-corrected rest-frame UV emission, with a scaling factor of$k=0.0091\pm0.0017\,M^{-1}_{\odot}$, and inconsistent (to $>95\%$ confidence)with SFRs from IR luminous galaxies, or with SFR models that include simpleevolution in the initial mass function over time. This scaling factor isexpected if the fraction of the IMF contributing to CCSN progenitors is in the8 to 50 $M_{\odot}$ range. It is not supportive, however, of an upper masslimit for progenitors at $<20\,M_{\odot}$.

The Rate of Core Collapse Supernovae to Redshift 2.5 From The CANDELS and CLASH Supernova Surveys